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                [Usaco2014 Mar]The Lazy Cow                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">&nbsp;It's a hot summer day, and Bessie the cow is feeling quite lazy. She wants to locate herself at a position in her field so that she can reach as much delicious grass as possible within only a short distance. There are N patches of grass (1 &lt;= N &lt;= 100,000) in Bessie's field. The ith such patch contains g_i units of grass (1 &lt;= g_i &lt;= 10,000) and is located at a distinct point (x_i, y_i) in the field (0 &lt;= x_i, y_i &lt;= 1,000,000). Bessie would like to choose a point in the field as her initial location (possibly the same point as a patch of grass, and possibly even a point with non-integer coordinates) so that a maximum amount of grass is within a distance of K steps from this location (1 &lt;= K &lt;= 2,000,000). When Bessie takes a step, she moves 1 unit north, south, east, or west of her current position. For example, to move from (0,0) to (3,2), this requires 5 total steps. Bessie does not need to take integer-sized steps -- for example, 1 total step could be divided up as half a unit north and half a unit east. Please help Bessie determine the maximum amount of grass she can reach, if she chooses the best possible initial location. </span></p>
<p></p>
<p><span style="font-size: medium">在二维平面有N个点。每个点都有个权值。</span></p>
<p><span style="font-size: medium">现在希望你选择某个点，如果其它点到这个点的距离不超过K。</span></p>
<p><span style="font-size: medium">则牛就可以吃到这个点的东西。</span></p>
<p><span style="font-size: medium">现在希望吃到的东西的权值越大越好。请求出这个值来。</span></p></p><hr/><h3>输入格式</h3><p><p><font size="4">* Line 1: The integers N and K.</font></p>
<p><font size="4">&nbsp;* Lines 2..1+N: Line i+1 describes the ith patch of grass using 3 integers: g_i, x_i, y_i. </font></p></p><hr/><h3>输出格式</h3><p><p><span style="font-size: medium">* Line 1: The maximum amount of grass Bessie can reach within K steps, if she locates herself at the best possible initial position.&nbsp;</span></p></p><hr/><h3>样例输入</h3><pre>4 3
7 8 6
3 0 0
4 6 0
1 4 2

 INPUT DETAILS: Bessie is willing to take at most 3 steps from her initial position. There are 4 patches of grass. The first contains 7 units of grass and is located at position (8,6), and so on.</pre><hr/><h3>样例输出</h3><pre> 8 

OUTPUT DETAILS: By locating herself at (3,0), the grass at positions (0,0), (6,0), and (4,2) is all within K units of distance.

可以选择(3,0)这个点，这样可以吃到 (0,0), (6,0), and (4,2)这三个点的东西，其总和为8</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Gold</p>
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